Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations
This book presents various results and techniques from the theory of shastic processes that are useful in the study of shastic problems in the natural sciences. The main focus is analytical methods, although numerical methods and statistical inference methodologies for studying diffusion processes are also presented. The goal is the development of techniques that are applicable to a wide variety of shastic models that appear in physics, chemistry and other natural sciences. Applications such as shastic resonance, Brownian motion in periodic potentials and Brownian motors are studied and the connection between diffusion processes and time-dependent statistical mechanics is elucidated.

The book contains a large number of illustrations, examples, and exercises. It will be useful for graduate-level courses on shastic processes for students in applied mathematics, physics and engineering. Many of the topics covered in this book (reversible diffusions, convergence toequilibrium for diffusion processes, inference methods for shastic differential equations, derivation of the generalized Langevin equation, exit time problems) cannot be easily found in textbook form and will be useful to both researchers and students interested in the applications of shastic processes.

1136503213
Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations
This book presents various results and techniques from the theory of shastic processes that are useful in the study of shastic problems in the natural sciences. The main focus is analytical methods, although numerical methods and statistical inference methodologies for studying diffusion processes are also presented. The goal is the development of techniques that are applicable to a wide variety of shastic models that appear in physics, chemistry and other natural sciences. Applications such as shastic resonance, Brownian motion in periodic potentials and Brownian motors are studied and the connection between diffusion processes and time-dependent statistical mechanics is elucidated.

The book contains a large number of illustrations, examples, and exercises. It will be useful for graduate-level courses on shastic processes for students in applied mathematics, physics and engineering. Many of the topics covered in this book (reversible diffusions, convergence toequilibrium for diffusion processes, inference methods for shastic differential equations, derivation of the generalized Langevin equation, exit time problems) cannot be easily found in textbook form and will be useful to both researchers and students interested in the applications of shastic processes.

54.99 In Stock
Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations

Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations

by Grigorios A. Pavliotis
Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations

Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations

by Grigorios A. Pavliotis

Paperback(Softcover reprint of the original 1st ed. 2014)

$54.99 
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Overview

This book presents various results and techniques from the theory of shastic processes that are useful in the study of shastic problems in the natural sciences. The main focus is analytical methods, although numerical methods and statistical inference methodologies for studying diffusion processes are also presented. The goal is the development of techniques that are applicable to a wide variety of shastic models that appear in physics, chemistry and other natural sciences. Applications such as shastic resonance, Brownian motion in periodic potentials and Brownian motors are studied and the connection between diffusion processes and time-dependent statistical mechanics is elucidated.

The book contains a large number of illustrations, examples, and exercises. It will be useful for graduate-level courses on shastic processes for students in applied mathematics, physics and engineering. Many of the topics covered in this book (reversible diffusions, convergence toequilibrium for diffusion processes, inference methods for shastic differential equations, derivation of the generalized Langevin equation, exit time problems) cannot be easily found in textbook form and will be useful to both researchers and students interested in the applications of shastic processes.


Product Details

ISBN-13: 9781493954797
Publisher: Springer New York
Publication date: 08/23/2016
Series: Texts in Applied Mathematics , #60
Edition description: Softcover reprint of the original 1st ed. 2014
Pages: 339
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

About the Author

Dr. Grigorios A. Pavliotis is a professor in Applied Mathematics at the Imperial College in London. Dr. Pavliotis's research interests include analysis, numerical, and statistical inference for multiscale shastic systems, non-equilibrium statistical mechanics, and homogenization theory for PDEs and SDEs.

Table of Contents

Shastic Processes.- Diffusion Processes.- Introduction to Shastic Differential Equations.- The Fokker-Planck Equation.- Modelling with Shastic Differential Equations.- The Langevin Equation.- Exit Problems for Diffusions.- Derivation of the Langevin Equation.- Linear Response Theory.- Appendix A Frequently Used Notations.- Appendix B Elements of Probability Theory.

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